GMAT OG2019 数学DS新题第241题(附解析)

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241. In a certain class, some students donated cans of food to a local food bank .What was the average(arithmetic mean)number of cans donated per student in the class ?

(1) The students donated a total of 56 cans of food. 

(2) The total number of cans donated was 40 greater than the total number of students in the class.

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

D. Each statement ALONE is sufficient.

E. Statements (1) and (2) TOGETHER are NOT sufficient.

词汇知识

donate  vt. 捐赠;捐献

ans  n.金属罐,罐(can的复数);易拉罐;耳机;头戴受话器

题目大意

某个班,一些学生向当地的食品银行捐赠食物罐头。班级里每个学生捐献的食物罐头的平均数量(算术平均数)是多少?

(1) 学生共捐赠了56罐食品罐头。

(2) 所捐赠的罐头总数比班级学生总数多40个。

解题思路

求平均数,就要同时知道罐头的总数和捐赠的学生总数。

(1) 只知道罐头总数,无法求出班级里每个学生捐赠罐头平均值,条件不充分;

(2) 只知道罐头总数和学生总数的关系,无法求出班级里每个学生捐赠罐头平均值,条件不充分;

(1)+(2),罐头总数为56,班级总人数= 56 - 40 = 16人,所以班级里每个学生捐赠罐头平均值= 56÷16 = 3.5罐,条件充分。

正确答案: C

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